12103279200 has 360 divisors, whose sum is σ = 46738930392. Its totient is φ = 3037409280.

The previous prime is 12103279159. The next prime is 12103279241. The reversal of 12103279200 is 297230121.

It is an interprime number because it is at equal distance from previous prime (12103279159) and next prime (12103279241).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1096107 + ... + 1107093.

Almost surely, 2^12103279200 is an apocalyptic number.

12103279200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23369465196).

12103279200 is an abundant number, since it is smaller than the sum of its proper divisors (34635651192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12103279200 is a wasteful number, since it uses less digits than its factorization.

12103279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 12103279200 in words is "twelve billion, one hundred three million, two hundred seventy-nine thousand, two hundred".